{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "premium-shield",
   "metadata": {},
   "source": [
    "# Numerical Solvers for Stochastic Differential Equations\n",
    "\n",
    "[![Colab](https://colab.research.google.com/assets/colab-badge.svg)](https://colab.research.google.com/github/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/sde_numerical_solvers.ipynb)\n",
    "[![Open in Kaggle](https://kaggle.com/static/images/open-in-kaggle.svg)](https://kaggle.com/kernels/welcome?src=https://github.com/brainpy/brainpy/blob/master/docs_version2/tutorial_toolbox/sde_numerical_solvers.ipynb)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "292cad9b",
   "metadata": {},
   "source": [
    "@[Chaoming Wang](mailto:adaduo@outlook.com)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "0f1e62e8",
   "metadata": {},
   "source": [
    "`BrainPy` provides several numerical methods for stochastic differential equations (SDEs). Specifically, we provide explicit Runge-Kutta methods, derivative-free Milstein methods, and exponential Euler method for SDE numerical integration. "
   ]
  },
  {
   "cell_type": "code",
   "id": "223eeef0",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.119249Z",
     "start_time": "2025-10-06T05:16:08.095716Z"
    }
   },
   "source": [
    "import brainpy as bp\n",
    "\n",
    "bp.__version__"
   ],
   "outputs": [
    {
     "data": {
      "text/plain": [
       "'3.0.0'"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 1
  },
  {
   "cell_type": "code",
   "id": "5d6e39f4",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.132921Z",
     "start_time": "2025-10-06T05:16:12.128316Z"
    }
   },
   "source": [
    "import matplotlib.pyplot as plt"
   ],
   "outputs": [],
   "execution_count": 2
  },
  {
   "cell_type": "markdown",
   "id": "incoming-result",
   "metadata": {},
   "source": [
    "## How to define SDE functions?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "parental-rogers",
   "metadata": {},
   "source": [
    "For a one-dimensional stochastic differentiable equation (SDE) with scalar Wiener noise, it is given by\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "d X_{t}&=f\\left(X_{t}, t, p_1\\right) d t+g\\left(X_{t}, t, p_2\\right) d W_{t} \\quad (1)\n",
    "\\end{aligned}\n",
    "$$\n",
    "\n",
    "where $X_t = X(t)$ is the realization of a stochastic process or random variable, $f(X_t, t)$ is the drift coefficient, $g(X_t, t)$ denotes the diffusion coefficient, the stochastic process $W_t$ is called Wiener process. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "marine-pencil",
   "metadata": {},
   "source": [
    "For this SDE system, we can define two Python funtions $f$ and $g$ to represent it."
   ]
  },
  {
   "cell_type": "code",
   "id": "skilled-continuity",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.150428Z",
     "start_time": "2025-10-06T05:16:12.145348Z"
    }
   },
   "source": [
    "def g_part(x, t, p1, p2):\n",
    "    dg = g(x, t, p2)\n",
    "    return dg\n",
    "\n",
    "def f_part(x, t, p1, p2):\n",
    "    df = f(x, t, p1)\n",
    "    return df"
   ],
   "outputs": [],
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "id": "worth-vertex",
   "metadata": {},
   "source": [
    "Same with the ODE functions, the arguments before $t$ denotes the random variables, while the arguments defined after $t$ represents the parameters.  For the SDE function with scalar noise, the size of the return data $dg$ and $df$ should be the same. For example, $df \\in R^d, dg \\in R^d$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "collect-connecticut",
   "metadata": {},
   "source": [
    "However, for a more general SDE system, it usually has multi-dimensional driving Wiener process:\n",
    "\n",
    "$$\n",
    "dX_t=f(X_t)dt+\\sum_{\\alpha=1}^{m}g_{\\alpha }(X_t)dW_t ^{\\alpha}\n",
    "$$\n",
    "\n",
    "For such $m$-dimensional noise system, the coding schema is the same with the scalar ones, but with the difference of that the data size of $dg$ has one more dimension. For example, $df \\in R^{d}, dg \\in R^{m \\times d}$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "human-virgin",
   "metadata": {},
   "source": [
    "## How to define the numerical integration for SDEs?"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "numeric-success",
   "metadata": {},
   "source": [
    "Brefore the numerical integration of SDE functions, we should distinguish two kinds of SDE integrals. For the integration of system (1), we can get\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "X_{t}&=X_{t_{0}}+\\int_{t_{0}}^{t} f\\left(X_{s}, s\\right) d s+\\int_{t_{0}}^{t} g\\left(X_{s}, s\\right) d W_{s} \\quad (2)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "neutral-telescope",
   "metadata": {},
   "source": [
    "In 1940s, the Japanese mathematician K. Ito denoted a type of integral called *Ito stochastic integral*. In 1960s, the Russian physicist R. L. Stratonovich proposed an other kind of stochastic integral called *Stratonovich stochastic integral* and used the symbol \"$\\circ$\" to distinct it from the former Ito integral.\n",
    "\n",
    "$$\n",
    "\\begin{aligned}\n",
    "d X_{t} &=f\\left(X_{t}, t\\right) d t+g\\left(X_{t}, t\\right) \\circ d W_{t} \\\\\n",
    "X_{t} &=X_{t_{0}}+\\int_{t_{0}}^{t} f\\left(X_{s}, s\\right) d s+\\int_{t_{0}}^{t} g\\left(X_{s}, s\\right) \\circ d W_{s}  \\quad (3)\n",
    "\\end{aligned}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "classical-authority",
   "metadata": {},
   "source": [
    "The difference of Ito integral (2) and Stratonovich integral (3) lies at the second integral term, which can be written in a general form as\n",
    "\n",
    "$$\n",
    "\\begin{split}\n",
    "\\int_{t_{0}}^{t} g\\left(X_{s}, s\\right) d W_{s} &=\\lim _{h \\rightarrow 0} \\sum_{k=0}^{m-1} g\\left(X_{\\tau_{k}}, \\tau_{k}\\right)\\left(W\\left(t_{k+1}\\right)-W\\left(t_{k}\\right)\\right) \\\\\n",
    "\\mathrm{where} \\quad & h = t_{k+1} - t_{k} \\\\\n",
    "              & \\tau_k = (1-\\lambda)t_k +\\lambda t_{k+1}\n",
    "\\end{split}\n",
    "$$\n",
    "\n",
    "- In the stochastic integral of the Ito SDE, $\\lambda=0$, thus $\\tau_k=t_k$; \n",
    "\n",
    "- In the definition of the Stratonovich integral, $\\lambda=0.5$, thus $\\tau_k=(t_{k+1} + t_{k}) / 2$."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "japanese-chart",
   "metadata": {},
   "source": [
    "In BrainPy, these two different integrals can be easily implemented. What need the users do is to provide a keyword `sde_type` in decorator `bp.sdeint`. `intg_type` can be \"bp.integrators.STRA_SDE\" or \"bp.integrators.ITO_SDE\" (default). Also, the different type of Wiener process can also be easily distinguished by the `wiener_type` keyword. It can be \"bp.integrators.SCALAR_WIENER\"  (default) or \"bp.integrators.VECTOR_WIENER\"."
   ]
  },
  {
   "cell_type": "markdown",
   "id": "legislative-geography",
   "metadata": {},
   "source": [
    "Now, let's numerically integrate the SDE (1) by the Ito way with the Milstein method:"
   ]
  },
  {
   "cell_type": "code",
   "id": "beginning-buying",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.191900Z",
     "start_time": "2025-10-06T05:16:12.186159Z"
    }
   },
   "source": [
    "def g_part(x, t, p1, p2):\n",
    "    dg = g(x, t, p2)\n",
    "    return dg  # shape=(d,)\n",
    "\n",
    "@bp.sdeint(g=g_part, method='milstein')\n",
    "def f_part(x, t, p1, p2):\n",
    "    df = f(x, t, p1)\n",
    "    return df  # shape=(d,)"
   ],
   "outputs": [],
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "id": "minimal-asthma",
   "metadata": {},
   "source": [
    "Or, it can be expressed as:"
   ]
  },
  {
   "cell_type": "code",
   "id": "casual-architecture",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.217542Z",
     "start_time": "2025-10-06T05:16:12.213044Z"
    }
   },
   "source": [
    "def g_part(x, t, p1, p2):\n",
    "    dg = g(x, t, p2)\n",
    "    return dg  # shape=(d,)\n",
    "\n",
    "def f_part(x, t, p1, p2):\n",
    "    df = f(x, t, p1)\n",
    "    return df  # shape=(d,)\n",
    "\n",
    "integral = bp.sdeint(f=f_part, g=g_part, method='milstein')"
   ],
   "outputs": [],
   "execution_count": 5
  },
  {
   "cell_type": "markdown",
   "id": "willing-clear",
   "metadata": {},
   "source": [
    "However, if you try to numerically integrate the SDE with multi-dimensional Wiener process by the Stratonovich ways, you can code it like this:"
   ]
  },
  {
   "cell_type": "code",
   "id": "ready-conspiracy",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.231334Z",
     "start_time": "2025-10-06T05:16:12.226509Z"
    }
   },
   "source": [
    "def g_part(x, t, p1, p2):\n",
    "    dg = g(x, t, p2)\n",
    "    return dg  # shape=(m, d)\n",
    "\n",
    "def f_part(x, t, p1, p2):\n",
    "    df = f(x, t, p1)\n",
    "    return df  # shape=(d,)\n",
    "\n",
    "integral = bp.sdeint(f=f_part, \n",
    "                     g=g_part, \n",
    "                     method='milstein', \n",
    "                     intg_type=bp.integrators.STRA_SDE, \n",
    "                     wiener_type=bp.integrators.VECTOR_WIENER)"
   ],
   "outputs": [],
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "id": "challenging-rental",
   "metadata": {},
   "source": [
    "## Example: Noisy Lorenz system"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "stretch-heaven",
   "metadata": {},
   "source": [
    "Here, let's demenstrate how to define a numerical solver for SDEs with the famous [Lorenz system](https://en.wikipedia.org/wiki/Lorenz_system): \n",
    "\n",
    "$$\n",
    "\\begin{array}{l}\n",
    "\\frac{d x}{dt}&=\\sigma(y-x) &+ px*\\xi_x \\\\\n",
    "\\frac{d y}{dt}&=x(\\rho-z)-y &+ py*\\xi_y\\\\\n",
    "\\frac{d z}{dt}&=x y-\\beta z &+ pz*\\xi_z\n",
    "\\end{array}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "id": "checked-greece",
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:12.244434Z",
     "start_time": "2025-10-06T05:16:12.240038Z"
    }
   },
   "source": [
    "sigma = 10; beta = 8/3; \n",
    "rho = 28;   p = 0.1\n",
    "\n",
    "def lorenz_g(x, y, z, t):\n",
    "    return p * x, p * y, p * z\n",
    "\n",
    "def lorenz_f(x, y, z, t):\n",
    "    dx = sigma * (y - x)\n",
    "    dy = x * (rho - z) - y\n",
    "    dz = x * y - beta * z\n",
    "    return dx, dy, dz\n",
    "\n",
    "lorenz = bp.sdeint(f=lorenz_f, \n",
    "                   g=lorenz_g, \n",
    "                   intg_type=bp.integrators.ITO_SDE,\n",
    "                   wiener_type=bp.integrators.SCALAR_WIENER)"
   ],
   "outputs": [],
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "To run this integrator, we use [brainpy.integrators.IntegratorRunner](../tutorial_toolbox/runners.ipynb), which can JIT compile the model to gain impressive speed."
   ],
   "id": "e4ad29f58a245848"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:17.545767Z",
     "start_time": "2025-10-06T05:16:12.255126Z"
    }
   },
   "source": [
    "runner = bp.IntegratorRunner(\n",
    "    lorenz,\n",
    "    monitors=['x', 'y', 'z'],\n",
    "    inits=[1., 1., 1.],\n",
    "    dt=0.001\n",
    ")\n",
    "runner.run(50.)\n",
    "\n",
    "fig = plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "plt.plot(runner.mon.x[:, 0], runner.mon.y[:, 0], runner.mon.z[:, 0])\n",
    "ax.set_xlabel('x')\n",
    "ax.set_xlabel('y')\n",
    "ax.set_xlabel('z')\n",
    "plt.show()"
   ],
   "id": "556cee3819ca99e7",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/50000 [00:00<?, ?it/s]"
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     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
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    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": false
   },
   "source": [
    "We can also rewrite the above differential equation as a [JointEq](./joint_equations.ipynb) of separable equations, so that it can be applied to Exponential Euler method."
   ],
   "id": "5df5a8b07a583f4"
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:19.666622Z",
     "start_time": "2025-10-06T05:16:19.661985Z"
    }
   },
   "source": [
    "dx = lambda x, t, y: sigma * (y - x)\n",
    "dy = lambda y, t, x, z: x * (rho - z) - y\n",
    "dz = lambda z, t, x, y: x * y - beta * z\n",
    "lorenz_f = bp.JointEq(dx, dy, dz)"
   ],
   "id": "6bcfbabc602a5fb0",
   "outputs": [],
   "execution_count": 9
  },
  {
   "cell_type": "code",
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2025-10-06T05:16:24.825525Z",
     "start_time": "2025-10-06T05:16:19.674261Z"
    }
   },
   "source": [
    "lorenz = bp.sdeint(f=lorenz_f,\n",
    "                   g=lorenz_g,\n",
    "                   intg_type=bp.integrators.ITO_SDE,\n",
    "                   wiener_type=bp.integrators.SCALAR_WIENER,\n",
    "                   method='exp_euler')\n",
    "\n",
    "runner = bp.IntegratorRunner(\n",
    "    lorenz, monitors=['x', 'y', 'z'], inits=[1., 1., 1.], dt=0.001\n",
    ")\n",
    "runner.run(50.)\n",
    "\n",
    "plt.figure()\n",
    "ax = plt.axes(projection='3d')\n",
    "plt.plot(runner.mon.x[:, 0], runner.mon.y[:, 0], runner.mon.z[:, 0])\n",
    "ax.set_xlabel('x')\n",
    "ax.set_xlabel('y')\n",
    "ax.set_xlabel('z')\n",
    "plt.show()"
   ],
   "id": "32b43ae7f9091448",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "  0%|          | 0/50000 [00:00<?, ?it/s]"
      ],
      "application/vnd.jupyter.widget-view+json": {
       "version_major": 2,
       "version_minor": 0,
       "model_id": "cfa0b9497028408597041f0c6b670b64"
      }
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    },
    {
     "data": {
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data",
     "jetTransient": {
      "display_id": null
     }
    }
   ],
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "id": "2968e77f",
   "metadata": {},
   "source": [
    "## Supported SDE Numerical Methods "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c71e9b24",
   "metadata": {},
   "source": [
    "`BrainPy` provides several numerical methods for stochastic differential equations (SDEs). Specifically, we provide explicit Runge-Kutta methods, derivative-free Milstein methods, and exponential Euler method for SDE numerical integration. "
   ]
  },
  {
   "cell_type": "markdown",
   "id": "318047d8",
   "metadata": {},
   "source": [
    "| Methods                                                                                        | Keywords           | Ito SDE support | Stratonovich SDE support | Scalar Wiener support | Vector Wiener support |\n",
    "|------------------------------------------------------------------------------------------------| ------------------ | --------------- | ------------------------ | --------------------- | --------------------- |\n",
    "| [Strong SRK scheme: SRI1W1](../apis/auto/generated/brainpy.integrators.sde.SRK1W1.rst) | srk1w1_scalar     | Yes             |                          | Yes                   |                       |\n",
    "| [Strong SRK scheme: SRI2W1](../apis/auto/generated/brainpy.integrators.sde.SRK2W1.rst) | srk2w1_scalar     | Yes             |                          | Yes                   |                       |\n",
    "| [Strong SRK scheme: KlPl](../apis/auto/generated/brainpy.integrators.sde.KlPl.rst) | KlPl_scalar       | Yes             |                          | Yes                   |                       |\n",
    "| [Euler method](../apis/auto/generated/brainpy.integrators.sde.Euler.rst)           | euler              | Yes             | Yes                      | Yes                   | Yes                   |\n",
    "| [Heun method](../apis/auto/generated/brainpy.integrators.sde.Heun.rst)                 | heun               |                 | Yes                      | Yes                   | Yes                   |\n",
    "| [Milstein](../apis/auto/generated/brainpy.integrators.sde.Milstein.rst)       | milstein           | Yes             | Yes                      | Yes                   | Yes                   |\n",
    "| [Derivative-free Milstein](../apis/auto/generated/brainpy.integrators.sde.MilsteinGradFree.rst) | milstein_grad_free           | Yes             | Yes                      | Yes                   | Yes                   |\n",
    "| [Exponential Euler](../apis/auto/generated/brainpy.integrators.sde.ExponentialEuler.rst) | exp_euler | Yes             |                          | Yes                   | Yes                   |"
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